1. Lesson 3

1.10. Lesson 3 Summary

Mathematics 30-3 Module 5

Module 5: Geometry

 

Lesson 3 Summary

 

This is a photograph of a honeycomb that shows regular hexagons.

© margo555/35109581/Fotolia

In this lesson, you examined the properties of regular polygons. Regular polygons are useful in building and construction because of their unique properties. Different regular polygons fit together to form uniform or strong structures.

 

Regular polygons have the following properties:

  • All sides are equal.
  • All interior angles are equal.
  • If there is an even number of sides, then the opposite sides are parallel.
  • If there is an odd number of sides, then there are no parallel sides.
  • The number of lines of symmetry is equal to the number of sides.

You also explored how the interior angles of a regular polygon can be determined and found:

  • interior angle for
  • sum of interior angles for n-sided regular polygon = 180°(n − 2)

In the next lesson, you will look at how different shapes can be changed to create new shapes.